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Proof step 9 from proof refine-readmeta (previous step)

err = err0, ino = ROOT_INO, root.dir?, dom of < ino6, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), of-cons(of, dirs, files), psynced → asynced ⊦ [vfs_walk#(path, user, dirs, files, asynced; ino, err); md := md0; ino1 := ino4; ino0 := ino3; if err = ESUCCESS then choose inode with true in {afs_iget#(ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if pr(user, inode.meta) then {md := inode.meta, ino0 := inode.size; if inode.directory then ino1 := inode.nsubdirs + 2 else ino1 := inode.nlink} else err := EACCESS}] ⟨posix_readmeta#(path, user, root, abs-files(files), abs-of(of); md0, ino4, ino3, err0)⟩ ((psynced → asynced) ∧ md = md0 ∧ ino1 = ino4 ∧ ino0 = ino3 ∧ err = err0)

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: vfs-asm name: walk-prepost seq: ino = ROOT_INO, afs-cons(dirs, files) ⊦ ⟪vfs_walk#(p, user, dirs, files, asynced; ino, err)⟫ ( ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p, ROOT_INO, ino, dirs, files) ∧ px-parent(user, p, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p ≠ ε ∧ (∃ p'. p' ⊑ parent(p) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files))) subst: [asynced, files, dirs, user, p, err, ino] → [asynced, files, dirs, user, path, err, ino] flags: <all paths>

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